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Finding the Third Proportional to 799,815 and 1,754,619

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Solution

The third proportional to 799,815 and 1,754,619 is: 3,849,249.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    799,815 : 1,754,619 = 1,754,619 : x
  2. Step 2: Convert to fraction form
    799,815/1,754,619 = 1,754,619/x
  3. Step 3: Cross multiply
    799,815x = 1,754,619 × 1,754,619
  4. Step 4: Simplify right side
    799,815x = 3,078,687,835,161
  5. Step 5: Solve for x
    x = 3,078,687,835,161/799,815
  6. Step 6: Final answer
    x = 3,849,249.93

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.